Question 1

What is the equation of an ellipse that has its center at the origin whose foci are $\left(\pm4,0\right)$ and vertices $\left(\pm5,0\right)$ ?

Accepted Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 2

Given the equation of an ellipse, $\left(\pm4,0\right)$ , what are the coordinates of the vertices?

Accepted Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 3

What is the equation of an ellipse whose foci are $\left(\pm4,0\right)$ and (-3,-2) and the sum of its distances from the foci is $\left(\pm5,0\right)$ ?

Accepted Answer

There is no answer on the given choices.

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 4

Given the equation of an ellipse $\left(\pm4,0\right)$ , which of the following are the coordinates of the vertices?

Accepted Answer

There is no answer on the given choices.

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 5

The equation of an ellipse is given by $\left(\pm4,0\right)$ , which of the following are the coordinates of the center and vertices?

Accepted Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 6

What is the equation of the ellipse whose foci are $\left(\pm4,0\right)$ and $\left(\pm5,0\right)$ with vertices $\left(1,0\right)$ and $\left(1,-8\right)$ ?

Accepted Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 7

Which of the following is the equation of the graph below?

Accepted Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 8

Which of the following is the equation of the graph below?

Accepted Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 9

What is the equation of the ellipse with a major axis of length 22 units, foci 9 units above and below the center $\left(\pm4,0\right)$ ?

Accepted Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$

Question 10

Which of the following is the length of the major axis of the ellipse given by the equation $\left(\pm4,0\right)$ ?

Accepted Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$ units

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$ units

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$ units

Answer

$\frac{x^2}{25}+\frac{y^2}{9}=1$ units

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